The flexible porous elastic baffle was proposed as an anti-slosh device to reduce the liquid sloshing in a swaying/rolling rectangular tank. The analytical model was developed to assess the effectiveness of the porous elastic baffle on liquid sloshing. A one-dimensional beam model, along with Darcy's model, was taken to implement the characteristics of porous elastic baffle. The matched eigenfunction expansion method (MEEM) with the Green function for the liquid sloshing interaction with the porous elastic baffle was employed. Numerical results were presented that illustrate the effects of the baffle's geometry (porosity, height), and structural parameters (flexural rigidity, stiffness of mooring line) on the liquid sloshing. Through parametric studies, the flexural rigidity, porosity, and mooring line's stiffness have to be adjusted properly to enhance the sloshing-reduction effect. The flexible porous elastic baffle showed the potential as a useful anti slosh device within a limited application range compared with a rigid baffle.